Daily Practice · Higher
June 1996 - Higher 5-a-day
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The batch download puts all 5 tiers' June 1996 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1996
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 199622 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd June 1996A box plot has a minimum of 8 and a maximum of 62. Work out the range.
- 3rd June 1996Work out (36 x 10^8) / (9 x 10^3). Give your answer in standard form.
- 4th June 1996Make x the subject of y = 7x^2 - 8.
- 5th June 1996A block has volume 10 cm^3 and density 11 g/cm^3. Work out its mass.
- 6th June 1996In triangle ABC, angle A is 62°, angle B is 47° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th June 19965 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th June 1996A box plot has minimum 9, lower quartile 11, median 13, upper quartile 15 and maximum 17. Work out the interquartile range.
- 9th June 1996Write the recurring decimal 0.666... as a fraction in its simplest form.
- 10th June 1996Factorise x^2 - 36.
- 11th June 1996x : y = 2 : 9. Write y in terms of x.
- 12th June 1996A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 13th June 199612 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th June 1996A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 15th June 1996Work out 64^(2/3).
- 16th June 1996A region is defined by y < -2x - 3. Should the boundary line be solid or dashed, and why?
- 17th June 1996A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 18th June 1996The point (-1, 6) is enlarged by scale factor -1 about the centre (2, 4). Write down the coordinates of the image.
- 19th June 19962 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th June 1996A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 21st June 1996Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 22nd June 1996Factorise x^2 + 6x - 7.
- 23rd June 1996y is inversely proportional to x. When x = 2, y = 15. Work out y when x = 5.
- 24th June 1996Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 513 cm^3. Work out the volume of the smaller.
- 25th June 199611 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th June 1996Four classes in order have frequencies 3, 12, 10, 5. Write down the cumulative frequency at the end of the third class.
- 27th June 1996A meal deal has 3 mains, 3 sides and 3 drinks. How many different meals are possible?
- 28th June 1996Work out the equation of the line parallel to y = -5x + 2 that passes through (3, -8).
- 29th June 1996y is directly proportional to x^2. When x = 5, y = 200. Work out y when x = 7.
- 30th June 1996A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.